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Finding the Fourth Proportional to 7,978.96, 11,889.20 and 7,106.64

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Solution

The fourth proportional to 7,978.96, 11,889.20 and 7,106.64 is: 10,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.96 : 11,889.20 = 7,106.64 : x
  2. Step 2: Convert to fraction form
    7,978.96/11,889.20 = 7,106.64/x
  3. Step 3: Cross multiply
    7,978.96x = 11,889.20 × 7,106.64
  4. Step 4: Simplify right side
    7,978.96x = 84,492,264.29
  5. Step 5: Solve for x
    x = 84,492,264.29/7,978.96
  6. Step 6: Final answer
    x = 10,589.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.